Disappearing Cookies

Task

Kathy had fun baking lots of cookies. She left them on a plate to cool while she went shopping with her dad. Her brother saw the cookies and took 1/2 of them to his Scout meeting. Her sister took 2/3 of the remaining cookies to share with her friends. Finally, her mom took 1/2 of the remaining cookies to her Book Club meeting. When Kathy and her dad got home, there were only 5 cookies left on the plate.

How many cookies had Kathy baked?

Context

This task was piloted in a fourth-grade classroom.

What This Task Accomplishes

This task allows the teacher to assess students' understanding of fractions and the problem-solving strategy of working backwards to solve a problem.

Time Required for Task

45 minutes

Interdisciplinary Links

This task could link to a unit on cooking.

Teaching Tips

To make the task more complicated, you can change the fractions presented in the task.

Suggested Materials

Manipulatives (students can use to represent cookies)

Possible Solutions

There were 60 cookies to begin with.

Benchmark Descriptors

Novice
The student is unable to proceed toward a solution. Little or no math language is used. Representations may be attempted.

Apprentice
Little math language is used. A partial solution is achieved, but all parts of the task are not attempted or are attempted unsuccessfully. Representations are used to organize the solution.

Practitioner
The student has an approach that works and achieves a correct solution. Representations are used to organize the solution. Work is shown and labeled. Math language is used to communicate.

Expert
The student has an approach that works and achieves a correct solution. Sophisticated math language is used to communicate. Representations are used to organize the solution. The student demonstrates solid understanding of fractions.

PDF Version

Click the icon for a PDF version with overhead for students and annotated benchmark papers.

Grade Levels 3-5

Time
Less than 1 hour

Standards
Numbers and Operations

Concepts & Skills
Graphs/ Tables/ Representations, Addition, Fractions

Interdisciplinary Links
Cooking, Food

Technology
Manipulatives

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